16990729666560 has 960 divisors, whose sum is σ = 65514831782400. Its totient is φ = 4045154549760.

The previous prime is 16990729666541. The next prime is 16990729666579. The reversal of 16990729666560 is 6566692709961.

It is an interprime number because it is at equal distance from previous prime (16990729666541) and next prime (16990729666579).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9507961987 + ... + 9507963773.

It is an arithmetic number, because the mean of its divisors is an integer number (68244616440).

Almost surely, 2^{16990729666560} is an apocalyptic number.

16990729666560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16990729666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32757415891200).

16990729666560 is an abundant number, since it is smaller than the sum of its proper divisors (48524102115840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16990729666560 is an equidigital number, since it uses as much as digits as its factorization.

16990729666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 396809280, while the sum is 72.

The spelling of 16990729666560 in words is "sixteen trillion, nine hundred ninety billion, seven hundred twenty-nine million, six hundred sixty-six thousand, five hundred sixty".